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Math  /  Algebra

Question8+12⋅4=568 + \boxed{\phantom{12}} \cdot 4 = 56
Calculate the number that should go in the box below.

Studdy Solution

STEP 1

1. The equation is 8+□×4=56 8 + \Box \times 4 = 56 .
2. We need to find the number that fits in the box.
3. The operations follow the order of operations (PEMDAS/BODMAS).

STEP 2

1. Rearrange the equation to isolate the box.
2. Solve for the box.
3. Verify the solution.

STEP 3

Start with the equation:
8+□×4=56 8 + \Box \times 4 = 56
Subtract 8 from both sides to isolate the term with the box:
□×4=56−8 \Box \times 4 = 56 - 8

STEP 4

Simplify the right-hand side:
□×4=48 \Box \times 4 = 48

STEP 5

Divide both sides by 4 to solve for the box:
□=484 \Box = \frac{48}{4}

STEP 6

Simplify the division:
□=12 \Box = 12

STEP 7

Verify the solution by substituting back into the original equation:
8+12×4=56 8 + 12 \times 4 = 56
Calculate the left-hand side:
8+48=56 8 + 48 = 56
Both sides are equal, confirming the solution.
The number that should go in the box is:
12 \boxed{12}

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